The equation \(x^3=-1\) has three solutions, one of which is real and the other two are non-real complex numbers. Determine the number and type of solutions of
\[ \large x^{\frac{1}{\sqrt{2}}}=-1\]

Note: When \(x\) is a complex number different from \(0\), and \(r\) is a real number, \(x^r\) can have more than one possible value. In this case, we assume that the complex number \(x\) is a solution of the equation \(x^r=s,\) where \(s\) is a given real number, if at least one of the values of \(x^r\) is equal to \(s.\)

Only one solution that can be real or complex.A finite number of complex solutions some of which are real.Infinitely many complex solutions some of which are real.A finite number of complex solutions none of which is real.No complex or real solutions.Infinitely many complex solutions none of which is real.